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ESA
1999
Springer
110views Algorithms» more  ESA 1999»
15 years 6 months ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle
ASIACRYPT
2009
Springer
15 years 8 months ago
Security Bounds for the Design of Code-Based Cryptosystems
Code-based cryptography is often viewed as an interesting “Post-Quantum” alternative to the classical number theory cryptography. Unlike many other such alternatives, it has th...
Matthieu Finiasz, Nicolas Sendrier
DCC
2006
IEEE
16 years 1 months ago
Asymptotic Nonlinearity of Boolean Functions
Boolean functions on the space Fm 2 are not only important in the theory of error-correcting codes, but also in cryptography. In these two cases, the nonlinearity of these functio...
François Rodier
JC
2007
94views more  JC 2007»
15 years 1 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
CORR
2002
Springer
101views Education» more  CORR 2002»
15 years 1 months ago
Quantum Circuits with Unbounded Fan-out
We demonstrate that the unbounded fan-out gate is very powerful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denot...
Peter Høyer, Robert Spalek